What is the Least Common Multiple of 55248 and 55257?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55248 and 55257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55248 and 55257, than apply into the LCM equation.

GCF(55248,55257) = 3
LCM(55248,55257) = ( 55248 × 55257) / 3
LCM(55248,55257) = 3052838736 / 3
LCM(55248,55257) = 1017612912

Least Common Multiple (LCM) of 55248 and 55257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55248 and 55257. First we will calculate the prime factors of 55248 and 55257.

Prime Factorization of 55248

Prime Factorization of 55257

Now multiplying the highest exponent prime factors to calculate the LCM of 55248 and 55257.

LCM(55248,55257) = 2⁴ × 3¹ × 1151¹ × 113¹ × 163¹
LCM(55248,55257) = 1017612912